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# Solve the given equation: $\dfrac{{98}}{{121}}{{\text{x}}^2} = \dfrac{1}{2}$

Last updated date: 25th Mar 2023
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Hint: In this question we need to find the value of x. To solve this question, we would be doing cross multiplication and then find the root of the equation.

We have been given $\dfrac{{98}}{{121}}{{\text{x}}^2} = \dfrac{1}{2}$
${{\text{x}}^2} = \dfrac{{121}}{{2 \times 98}}$
$\Rightarrow {{\text{x}}^2} = \dfrac{{121}}{{196}}$
$x = \sqrt {\dfrac{{121}}{{196}}}$
$\Rightarrow x = \dfrac{{11}}{{14}}$
Hence, $x = \dfrac{{11}}{{14}}$ is the required value.